Kylie Minogue & Olivier Martinez's Touchy-Feely Lunch

Has Kylie Minogue rekindled her romance with French actor Olivier Martinez?

The U.K. press is abuzz with speculation after the two shared a cozy lunch in Paris Wednesday.

According to the Daily Mail – which ran pictures of the two laughing and hugging at a sidewalk cafe – "their romance is back in full swing."

The Sun also ran an account of the meal, describing the "neck stroking, hair twiddling and leg touching" – all as her parents, Ron and Carol, looked on.

But the two have spent time together before, only to emphatically deny reports of a reconciliation.

A rep for the diminutive singer (who's in the midst of her KylieX2008 tour) tells PEOPLE that nothing has changed. "They aren't back together," he said. "They always said that they would remain close – they hang out together and there will be photographs like this. They are just good friends."

The performers dated for four years – but split in 2007 amid reports that Martinez had been unfaithful.